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Finding the Fourth Proportional to 103,314.75, 154,998.14 and 29,442.75

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Solution

The fourth proportional to 103,314.75, 154,998.14 and 29,442.75 is: 44,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.75 : 154,998.14 = 29,442.75 : x
  2. Step 2: Convert to fraction form
    103,314.75/154,998.14 = 29,442.75/x
  3. Step 3: Cross multiply
    103,314.75x = 154,998.14 × 29,442.75
  4. Step 4: Simplify right side
    103,314.75x = 4,563,571,339.27
  5. Step 5: Solve for x
    x = 4,563,571,339.27/103,314.75
  6. Step 6: Final answer
    x = 44,171.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.